PQRA is a rectangle AP 22 cm PQ 8 cm ABC is a triangle whose vertices lie on the sides of PQRA such ...........

Quantitative Aptitude (CGL) Coordinate Geometry

PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. ?ABC is a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm .Then the length of the line joining the mid points of the sides AB and BC is

4v2 cm

5 cm

6 cm

10 cm

छोटे Courses बड़े Results

Master Coordinate Geometry

Prepare through Micro-courses

Try Now

Explanation:

Made a triangle such that B, is on side PQ and BQ = 2 cm
And C is on RQ such that QC = 16 cm
Because all the vertices are on sides of PQRA.
Now, PQRA is a rectangle so all the angle will be of 90°
∠ARQ=90°
and RC=RQ−CQ=22−16cm=6cm
In right angle ?ARC
AC2=AR2+RC2=82+62
AC=10
Now in ?ABC AC is 10 cm and M, N are the mid point of ?ABC
So, MN=10/2=5cm